Question 934386
width = x
length =x+4 in

Area = L*w

Area = 52 1/4 = 209/4 

x(x+4) = 209/4  

x^2+4x = 209/4

x^2+4x+4 = 209/4  +4

(x+2)^2= 225/4

(x+2)= +/-(15/2)

x+2 = +/- 7.5

x= 7.5-2 = 5.5

ignore negative value

width = 5.5 in
length = 9.5 in